Entangled states from arborescent knots

TL;DR

This paper explores how arborescent knots can be used to generate various entangled multi-qubit states, including Bell, GHZ, and cluster states, which are essential for quantum computing.

Contribution

It introduces a novel method of constructing key entangled states from arborescent knots, linking knot theory with quantum information processing.

Findings

Bell-states can be derived from arborescent knots

GHZ-states can be constructed using knot-based methods

Cluster states from knots serve as a resource for measurement-based quantum computing

Abstract

In this paper we discuss how to use arborescent knots to construct entangled multi-qubit states. We show that Bell-states, GHZ-states and cluster states can be constructed from such knots. The latter are particularly interesting since they form a base for the measurement-based quantum computers.